Dynamics of thermalization in classical three-dimensional many-body systems: Non-Maxwellian distributions and the role of anisotropic trapping
Abstract
The physics of interacting baths is of interest in a variety of contexts, ranging from ultracold atoms to ionized gases. While many features can already be captured in a one-dimensional model, others are specific to the situation of two or three-dimensional systems. In this paper, we focus on three-dimensional features of a model for thermalization between two baths that we have explored in earlier publications. In contrast to the one-dimensional situation we show that, en route to thermalization, deviations from the Maxwell-Boltzmann energy distributions more akin to κ-distributions are observed. In three dimensions, these can be seen in changes at the peak of the distribution, which is precluded by the expected monotonic behavior of the energy distributions in one dimension. Furthermore, we consider thermalization for anisotropic trapping and explore its role in the onset of anomalous scaling with respect to the particle number. These results may be pertinent to the understanding of the interplay between turbulent behavior and nonlinearities for a variety of many-body classical systems.
Versions
Related
- Spherical Symmetry in Anisotropic Non-Integer Dimensional Space: Application to Fractal Charge Distributions
- Generation of non-Maxwell-Boltzmann energy distributions during thermalization of interacting baths
- Lattice Boltzmann Methods with Anisotropic Equilibrium Distributions
- Efficient thermalization of one-dimensional noncommuting Hamiltonians via system-bath interactions with Θ(n) ancilla qubits
- Magnon Theory of Domain Wall Wavefronts and the Ballistic Diffusive Crossover in the Classical Anisotropic Landau Lifshitz Spin Chain
BibTeX
@misc{onofrio2026dynamics,
title = {{Dynamics of thermalization in classical three-dimensional many-body systems: Non-Maxwellian distributions and the role of anisotropic trapping}},
author = {Roberto Onofrio and Bala Sundaram},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27368},
eprint = {2610.27368},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27368},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dynamics of thermalization in classical three-dimensional many-body systems: Non-Maxwellian distributions and the role of anisotropic trapping
AU - Roberto Onofrio
AU - Bala Sundaram
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.27368
UR - https://arxiv.org/abs/2610.27368
AB - The physics of interacting baths is of interest in a variety of contexts, ranging from ultracold atoms to ionized gases. While many features can already be captured in a one-dimensional model, others are specific to the situation of two or three-dimensional systems. In this paper, we focus on three-dimensional features of a model for thermalization between two baths that we have explored in earlier publications. In contrast to the one-dimensional situation we show that, en route to thermalization, deviations from the Maxwell-Boltzmann energy distributions more akin to κ-distributions are observed. In three dimensions, these can be seen in changes at the peak of the distribution, which is precluded by the expected monotonic behavior of the energy distributions in one dimension. Furthermore, we consider thermalization for anisotropic trapping and explore its role in the onset of anomalous scaling with respect to the particle number. These results may be pertinent to the understanding of the interplay between turbulent behavior and nonlinearities for a variety of many-body classical systems.
ER -